The box of a pin hole camera, of length L, has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength λ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say b min) when:

(A) a = √(λ L) and b min = √(4λ L)

(B) a = (λ ²)/L and b min = √(4λ L)

(C) a = (λ ²)/L and b min = ((2λ ²)/L)

(D) a = √(λ L) and b min = ((2λ ²)/L)

Optics: JEE Main 2016 Physics question

JEE Main 2016 · Session, Shift 1 · Q8391

JEE Main 2016Session, Shift 1PhysicsMediumOptics190× since 2002

The box of a pin hole camera, of length

L,

has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength

\lambda

the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say

{b_{\min }}

) when :

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